GCD of 31, 294, 186, 506 Calculator

Given Input numbers are 31, 294, 186, 506

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 31, 294, 186, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 294, 186, 506 is 1.

Therefore, GCD of numbers 31, 294, 186, 506 is 1

Given Input Data is 31, 294, 186, 506

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 31 is 31

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 506 is 2 x 11 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(31, 294) = 9114

GCD(31, 294) = ( 31 x 294 ) / 9114

GCD(31, 294) = 9114 / 9114

GCD(31, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 31, 294, 186, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 307, 197, 138
• GCD of 55, 603, 811, 403
• GCD of 71, 527, 589, 400
• GCD of 78, 105, 656, 376
• GCD of 13, 592, 635, 917

1. What is the GCD of 31, 294, 186, 506?

GCD of 31, 294, 186, 506 is 1

2. Where do I get the detailed procedure to find GCD of 31, 294, 186, 506?

You can find a detailed procedure to find GCD of 31, 294, 186, 506 on our page.

3. How to find GCD of 31, 294, 186, 506 on a calculator?

You can find the GCD of 31, 294, 186, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.